Encoding of information in inverse scattering problems

Functions which may be represented by a finite Fourier transform are defined as functions of class E. Such functions are characterized everywhere by their distribution of zeros. The zeros may be regarded as propagating along lines in a four-dimensional space. Throughout this propagation process each zero carries with it a unit of structural information, i.e. a logon about f(t). For a weak scatterer, each zero may be regarded as coding a harmonic with a phase and an amplitude independent of the position of the other zeros. Advantages of encoding functions in terms of zero are considered, taking into account two-dimensional problems.